Least Common Multiple of 3834 and 3842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3834 and 3842 the smallest integer that is 7365114 that is divisible by both numbers.

Least Common Multiple (LCM) of 3834 and 3842 is 7365114.

LCM(3834,3842) = 7365114

LCM of 3834 and 3842

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3834 and 3842

LCM of 3834 and 3842 is 7365114

Least common multiple can be found by multiplying the highest exponent prime factors of 3834 and 3842. First we will calculate the prime factors of 3834 and 3842.

Prime Factorization of 3834


2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 3834 are 2, 3,71. Prime factorization of 3834 in exponential form is:

3834 = 21×33×711

Prime Factorization of 3842


2 3842
17 1921
113 113
1

Prime factors of 3842 are 2, 17,113. Prime factorization of 3842 in exponential form is:

3842 = 21×171×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3834 and 3842.

LCM(3834,3842) = 21×33×171×711×1131
LCM(3834,3842) = 7365114

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834

Factors of 3842

List of positive integer factors of 3842 that divides 3842 without a remainder.

1, 2, 17, 34, 113, 226, 1921, 3842

Least Common Multiple of 3834 and 3842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3834 and 3842, than apply into the LCM equation.

GCF(3834,3842) = 2
LCM(3834,3842) = ( 3834 × 3842) / 2
LCM(3834,3842) = 14730228 / 2
LCM(3834,3842) = 7365114

Properties of LCM 3834 and 3842

(i) The LCM of 3842 and 3834 is associative

LCM of 3834 and 3842 = LCM of 3842 and 3834

Related Least Common Multiples of 3834

Related Least Common Multiples of 3842

Frequently Asked Questions on LCM of 3834 and 3842

1. What is the LCM of 3834 and 3842?

Answer: LCM of 3834 and 3842 is 7365114.

2. What are the Factors of 3834?

Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.

3. What are the Factors of 3842?

Answer: Factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842. There are 8 integers that are factors of 3842. The greatest factor of 3842 is 3842.

4. How to Find the LCM of 3834 and 3842?

Answer:

Least Common Multiple of 3834 and 3842 = 7365114

Step 1: Find the prime factorization of 3834

3834 = 2 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 3842

3842 = 2 x 17 x 113

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7365114 = 2 x 3 x 3 x 3 x 17 x 71 x 113

Step 4: Therefore, the least common multiple of 3834 and 3842 is 7365114.